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In its most basic form, a linear supply function looks as follows: y = MX + b. In this case, x and y represent the independent and dependent variables. Meanwhile, m shows the slope of the function, and b represents its y-intersect (i.e., the point where the function intersects the y-axis).
3:23 5:27 Suggested clip Finding Equilibrium using Linear Demand and Supply Equations YouTubeStart of suggested client of suggested clip Finding Equilibrium using Linear Demand and Supply Equations
3:23 5:27 Suggested clip Finding Equilibrium using Linear Demand and Supply Equations YouTubeStart of suggested client of suggested clip Finding Equilibrium using Linear Demand and Supply Equations
In its standard form a linear demand equation is Q = a — BP. That is, quantity demanded is a function of price. The inverse demand equation, or price equation, treats price as a function g of quantity demanded: P = f(Q). To compute the inverse demand equation, simply solve for P from the demand equation.
We can use the standard linear equation formula y=m×x+b where m is slope and b is intercept. Since the equilibrium quantity (Q) and Price (P) in an ideal micro-econ market is determined by the point of intersection of the supply and demand curves we simply have to substitute one equation into the other.
Since slope is defined as the change in the variable on the y-axis divided by the change in the variable on the x-axis, the slope of the supply curve equals the change in price divided by the change in quantity. Between the two points labeled above, the slope is (6-4)/(6-3), or 2/3.
The Supply Curve Equation The convention is for the supply curve to be written as quantity supplied as a function of price. The inverse supply curve, on the other hand, is the price as a function of quantity supplied. The point on the price axis is where the quantity demanded equals zero, or where 0=-3+(3/2)P.
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